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Open Access Research

Approximate solutions for MHD squeezing fluid flow by a novel method

Mustafa Inc1 and Ali Akgül23*

Author Affiliations

1 Department of Mathematics, Science Faculty, Fırat University, Elazığ, 23119, Turkey

2 Department of Mathematics, Education Faculty, Dicle University, Diyarbakır, 21280, Turkey

3 Department of Mathematics, Texas A&M University-Kingsville, Kingsville, USA

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Boundary Value Problems 2014, 2014:18  doi:10.1186/1687-2770-2014-18

Published: 16 January 2014

Abstract

In this paper, a steady axisymmetric MHD flow of two-dimensional incompressible fluids has been investigated. The reproducing kernel Hilbert space method (RKHSM) has been implemented to obtain a solution of the reduced fourth-order nonlinear boundary value problem. Numerical results have been compared with the results obtained by the Runge-Kutta method (RK-4) and optimal homotopy asymptotic method (OHAM).

MSC: 46E22, 35A24.

Keywords:
reproducing kernel method; series solutions; squeezing fluid flow; magnetohydrodynamics; reproducing kernel space